22660964352000 has 2720 divisors, whose sum is σ = 94767780691584. Its totient is φ = 5350883328000.

The previous prime is 22660964351941. The next prime is 22660964352073. The reversal of 22660964352000 is 25346906622.

22660964352000 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 0 + 9 + 6 + 435 + 200 + 0 = 666.

It is a super-2 number, since 2×22660964352000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 319168511965 + ... + 319168512035.

Almost surely, 2^{22660964352000} is an apocalyptic number.

22660964352000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22660964352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47383890345792).

22660964352000 is an abundant number, since it is smaller than the sum of its proper divisors (72106816339584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22660964352000 is an frugal number, since it uses more digits than its factorization.

22660964352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 22660964352000 in words is "twenty-two trillion, six hundred sixty billion, nine hundred sixty-four million, three hundred fifty-two thousand".